Thermal activation at moderate-to-high and high damping: finite barrier effects and force spectroscopy

Abstract

We study the thermal escape problem in the moderate-to-high and high damping regime of a system with a parabolic barrier. We present a formula that matches our numerical results accounting for finite barrier effects, and compare it with previous works. We also show results for the full damping range. We quantitatively study some aspects on the relation between mean first passage time and the definition of a escape rate. To finish we apply our results and considerations in the framework of force spectroscopy problems. We study the differences on the predictions using the different theories and discuss the role of $\gamma \dot{F}$ as the relevant parameter at high damping.